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Finding the Fourth Proportional to 375,788.34, 563,863.14 and 176,076.36

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Solution

The fourth proportional to 375,788.34, 563,863.14 and 176,076.36 is: 264,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,788.34 : 563,863.14 = 176,076.36 : x
  2. Step 2: Convert to fraction form
    375,788.34/563,863.14 = 176,076.36/x
  3. Step 3: Cross multiply
    375,788.34x = 563,863.14 × 176,076.36
  4. Step 4: Simplify right side
    375,788.34x = 99,282,969,229.37
  5. Step 5: Solve for x
    x = 99,282,969,229.37/375,788.34
  6. Step 6: Final answer
    x = 264,199.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.